3x-6=3+2x-(x+1)

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Solution for 3x-6=3+2x-(x+1) equation:


Simplifying
3x + -6 = 3 + 2x + -1(x + 1)

Reorder the terms:
-6 + 3x = 3 + 2x + -1(x + 1)

Reorder the terms:
-6 + 3x = 3 + 2x + -1(1 + x)
-6 + 3x = 3 + 2x + (1 * -1 + x * -1)
-6 + 3x = 3 + 2x + (-1 + -1x)

Reorder the terms:
-6 + 3x = 3 + -1 + 2x + -1x

Combine like terms: 3 + -1 = 2
-6 + 3x = 2 + 2x + -1x

Combine like terms: 2x + -1x = 1x
-6 + 3x = 2 + 1x

Solving
-6 + 3x = 2 + 1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
-6 + 3x + -1x = 2 + 1x + -1x

Combine like terms: 3x + -1x = 2x
-6 + 2x = 2 + 1x + -1x

Combine like terms: 1x + -1x = 0
-6 + 2x = 2 + 0
-6 + 2x = 2

Add '6' to each side of the equation.
-6 + 6 + 2x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 2 + 6
2x = 2 + 6

Combine like terms: 2 + 6 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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